Answer:
10cos(5x)sin(10x) = 5[sin (15x) + sin (5x)]
Step-by-step explanation:
In this question, we are tasked with writing the product as a sum.
To do this, we shall be using the sum to product formula below;
cosαsinβ = 1/2[ sin(α + β) - sin(α - β)]
From the question, we can say α= 5x and β= 10x
Plugging these values into the equation, we have
10cos(5x)sin(10x) = (10) × 1/2[sin (5x + 10x) - sin(5x - 10x)]
= 5[sin (15x) - sin (-5x)]
We apply odd identity i.e sin(-x) = -sinx
Thus applying same to sin(-5x)
sin(-5x) = -sin(5x)
Thus;
5[sin (15x) - sin (-5x)] = 5[sin (15x) -(-sin(5x))]
= 5[sin (15x) + sin (5x)]
Hence, 10cos(5x)sin(10x) = 5[sin (15x) + sin (5x)]
Answer:
9000 - 500m
Step-by-step explanation:
Your original number is 9000. It starts to decrease at a rate of 500 feet per minute. So we know that you will subtract 500 from 9000 but we don't know how many times. Because of this, we will put a variable to represent the minutes that we are descending.
In conclusion: 9000 - 500m
The answer to this is 38300 hope this helped
Question :
5m^2 - 29m + 20
Steps:
What can u factor to get 20?
you can make 5 and 4 to make 20 so,..
1. Break it into groups
(5m^2 - 4m) + (-25m + 20)
*Factor out m from (5m^2 - 4m) : m(5m - 4)
*Factor out -5 from (-25m + 20) : -5(5m - 4)
2. Then, you can factor out the common term : (5m - 4) because they both have it. And then u would move the m by the -5 so,...
= (5m - 4)(m - 5) <======= <em>Answer</em>
Hope this helped!!!
~Shane
